Question

Building a Ramp
Emaniee would like to build a ramp for her dog over some stairs.
1. Compute the distance between points B and C and enter it on the worksheet.
2. Compute the distance between points A and B and enter it on the worksheet.
3. Compute the distance between points D and B and enter it on the worksheet.
4. Use the Pythagorean Theorem to compute the distance between points D and
C.
5. Use the image to complete the activity

Answer 1

To help Emaniee calculate the distances between the points involved in building a ramp for her dog, we will assume the points are defined in a coordinate system. Since an image is mentioned but not provided, I can guide you through the process using assumed coordinates and the Pythagorean Theorem.

Let's define the coordinates for the points as follows:
- Point A (base of the stairs) = (x1, y1)
- Point B (top of the stairs) = (x2, y2)
- Point C (end of the ramp) = (x3, y3)
- Point D (base of the ramp) = (x4, y4)

### Step 1: Compute the distance between points B and C
The distance formula is given by:
\[
d = \sqrt{(x_2 - x_3)^2 + (y_2 - y_3)^2}
\]
Substitute the coordinates of points B and C into this formula.

### Step 2: Compute the distance between points A and B
Using the same distance formula:
\[
d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}
\]
Substitute the coordinates into the formula.

### Step 3: Compute the distance between points D and B
Again, use the distance formula:
\[
d = \sqrt{(x_4 - x_2)^2 + (y_4 - y_2)^2}
\]
Substitute the coordinates into this formula as well.

### Step 4: Compute the distance between points D and C using the Pythagorean Theorem
If points D and C form a right triangle with points B and C, you can use the Pythagorean Theorem to compute the distance:
\[
d = \sqrt{(x_4 - x_3)^2 + (y_4 - y_3)^2}
\]
This formula assumes that the horizontal and vertical sides of the triangle can be determined from the coordinates of D and C.

### Using the Image
To fill in the distances accurately, you need to substitute the specific coordinates of the points given in the image. Once you have those coordinates, follow through on each formula step above to get the required distances.

If you provide the specific coordinates or any additional details, I would be happy to assist you with the calculations directly!